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1, 125, 729, 2197, 4913, 9261, 15625, 24389, 35937, 50653, 68921, 91125, 117649, 148877, 185193, 226981, 274625, 328509, 389017, 456533, 531441, 614125, 704969, 804357, 912673, 1030301, 1157625
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.6.3.
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LINKS
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FORMULA
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Sum_{n>=0} 1/a(n) = Pi^3/64 + 7 zeta(3)/16.
a(0)=1, a(1)=125, a(2)=729, a(3)=2197, a(n)=4*a(n-1)-6*a(n-2)+ 4*a(n-3)- a(n-4). - Harvey P. Dale, Sep 01 2013
G.f.: ( 1+121*x+235*x^2+27*x^3 ) / (x-1)^4 . - R. J. Mathar, Dec 03 2015
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MATHEMATICA
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(4*Range[0, 30]+1)^3 (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 125, 729, 2197}, 30] (* Harvey P. Dale, Sep 01 2013 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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